Simple tensor products

Abstract

Let F be the category of finite dimensional representations of an arbitrary quantum affine algebra. We prove that a tensor product $S_1\otimes ...\otimes S_N$ of simple objects of F is simple if and only if for any $i<j$, $S_i\otimes S_j$ is simple.

21 pages ; accepted for publication in Inventiones Mathematicae

References in corpus (1)

• On minimal affinizations of representations of quantum groups

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